The Journal of the Indian Mathematical Society

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The Pedal Circle


     

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Lot DEF and D'E'F' be the pedal triangles of isogonal conjugate points P and P' with respect to a triangle ABC. EF, E'F' intersect in L; FD, F'D' in M, and DE, D'E' in N. To prove by elementary geometry that AL, BM, CN are perpendicular to PP'.
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  • The Pedal Circle

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Lot DEF and D'E'F' be the pedal triangles of isogonal conjugate points P and P' with respect to a triangle ABC. EF, E'F' intersect in L; FD, F'D' in M, and DE, D'E' in N. To prove by elementary geometry that AL, BM, CN are perpendicular to PP'.